Question # 1

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A²- 5A + 7I = 1

2A²- 3A + 7I = 0

A²- 5A + I = 0

A²- 5A + 7I = 0

The solution set of the equation tan^-1x - cot^-1x = cos^-1(2 - x) is

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[0, 1]

[-1, 1]

[1, 3]

None of these

How many numbers are there between 103 and 750 which are divisible by 6

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125

107

108

113

If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

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The identity element of a set X with respect to intersection in P(x) is

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X

Does not exist

∅

None of these

The period of the function csc x/4 us

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4x

π/4

8π

π/8

InΔABC if y = 90° then the Pythagoras theorem is

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b2 + c2 =a2

a2 + b2 = c2

a2 +c2 = b2

None of these

The solution set of x²- 5x + 6 = 0 is

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{1, 3}

{2, 3}

{1, 2}

None of these

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I3

rI3

r

none

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Set of whole number

Rational Numbers

Complex numbers

Whole numbers

Which one is quadrantal angle

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8181710°

2345°

-8181180°

-2344°

x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

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The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by

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If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

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ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages

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45

30

25

50

if A = (x/x€ Q˄ 0 < x < 1}, the A is

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Infinite set

Finite set

Set of rational numbers

Set of real numbers

Every subset of a finite set is

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Disjoint

Null

Finite

Infinite

If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

Inequalities have ______ symbol

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2

3

4

1

The degree of differential equation is the power of the

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Lowest order derivative

Highest order derivative

Integral

All are correct

If ax²+ bx + x = 0 is satisfied by every value of x, then

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b = 0, c = 0

c = 0

b = 0

a = b = c = 0

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

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